期刊文献+

具时变时滞和无穷时滞及反馈控制的n-种群竞争模型的周期解 被引量:1

Positive Periodic Solution of Single Speciesmodel with Feedback Regulation and Infinite Delays and Time-Varying Delays
原文传递
导出
摘要 研究更为广泛的同时具有交时滞,无穷时滞及反馈控制的n-种群竞争模型,并且以重合度理论和Lyapunov泛函为主要工具,得到了保证模型正周期解存在和全局吸引的充分性条件,所得结论推广了已有结果. By using the method of coincidence degree and Liapunov functional, the existence and global attractivity of positive periodic solution of single species model with feedback regulation and infinite delay are studied some new criteria are established which in prove and generalize some know results.
作者 杜明银
出处 《数学的实践与认识》 北大核心 2015年第17期178-189,共12页 Mathematics in Practice and Theory
关键词 时变时滞 无穷时滞 反馈控制 周期解 time-varying delays infinite delays feedback regulation periodic solution
  • 相关文献

二级参考文献13

  • 1翁佩萱.GLOBAL ATTRACTIVITY IN A PERIODIC COMPETITION SYSTEM WITH FEEDBACK CONTROLS[J].Acta Mathematicae Applicatae Sinica,1996,12(1):11-20. 被引量:5
  • 2Ahmad S. Convergence and ultimatebounds of Volterra-Lotka competitive equation.[J] J Math Anal Appl, 1987, 127 377-387. 被引量:1
  • 3Abmad S. On the nonautonomous Lotka-Volterra competitive equations[J]. Pro AmerMath Soc, 1993,117(1):199-204. 被引量:1
  • 4Lansun Chen. Models and Research Methods of Mathematical Ecology[M].Beijing:Beijing Science Press.988, 56-57. 被引量:1
  • 5Chattopadhyay J. Effect of toxic substances on a two-species competitive system[J].Ecol Model. 1996,84:287-289. 被引量:1
  • 6Cui J, Chen L. Asymptotic behavior of the solution for a class of time-dependentcompetitive system[J].Ann Diff Eqs, 1993, 9(1):11-17. 被引量:1
  • 7Xiao Y, Tang S, Chen J. Permanence and periodic solution in competitive system withfeedback con-trols[J].Mathl Comput Modelling, 1998, 27(6):33-37. 被引量:1
  • 8Gopalsamy K, Weng P. Feedback regulation of logistic growth [J].Internat J MathMath Sci, 1993, 16(1):177192. 被引量:1
  • 9Barbalat I. System d'equations differentielles d'oscillations nonlinears[J]. RevRoumaine Math Pures Appl.1959, 4(2):267-270. 被引量:1
  • 10陈伯山,刘永清.带遗传效应的单种群模型的稳定周期解(英文)[J].应用数学,1999,12(1):42-46. 被引量:5

共引文献51

同被引文献14

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部